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Now that the core thread is the UI thread, it's not needed.

Bug: 1138155
Change-Id: Iaf115e152c403650b3fce99a77c0673d1cdfed37
Reviewed-on: https://chromium-review.googlesource.com/c/chromium/src/+/2536575
Commit-Queue: Matt Falkenhagen <falken@chromium.org>
Reviewed-by: Makoto Shimazu <shimazu@chromium.org>
Cr-Commit-Position: refs/heads/master@{#828570}